Finding the Third Proportional to 103,632 and 152,046

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 152,046 = 152,046 : x
2. Step 2: Convert to fraction form
   103,632/152,046 = 152,046/x
3. Step 3: Cross multiply
   103,632x = 152,046 × 152,046
4. Step 4: Simplify right side
   103,632x = 23,117,986,116
5. Step 5: Solve for x
   x = 23,117,986,116/103,632
6. Step 6: Final answer
   x = 223,077.68